Member 631
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Immortal since Dec 12, 2007
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    Quaternionic Fractals

    Wed, Dec 12, 2007  Permanent link

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    jTp     Wed, Dec 12, 2007  Permanent link
    I heart fractals.
    Michael Gaio     Wed, Sep 10, 2008  Permanent link
    Great to see this here. I began doing some research into quaternion mathematics earlier this year while creating a unique 3D visualization engine (here). Although vector-based mathematics is more common in 3D computation (which derived out of the original quaternion mathematics), quaternions can offer a more appropriate method of simulation that is congruent with reality (as it accounts for 3 dimensions of space and another dimension for time/motion - all integrated within the same mathematical formula). Although vector-based computation is may be simpler to implement, quaternion computation is more elegant. Simply said, quaternions are a mathematical solution to unifying the perspective split in our comprehension of space-time.

    And this is just the beginning ... I have a sense that deeper and very specific insights will emerge from the subtle influences embedded in space-time chaos dynamics.